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- W3149706044 abstract "This chapter describes the mathematical theory of the behavior of trajectories on Riemann surfaces. In the 30's a dramatic shift occurred. Instead of focusing on one trajectory and determining its path clearly influenced by the burgeoning ergodic theory, was on showing that almost all trajectories had various kinds of regularity in the limit. This work produced a theory of enormous power and beauty. But the computational aspects of the theory are obscure: can one tell whether a given trajectory is a "good" one. The chapter also describes G. A. Hedlund's proofs are in the tradition of the 20's. Much of the analysis takes place on the real line the terminal point of the trajectory. Indeed much of the technique does not depend on which trajectory one is using, as long as it has a given terminal point. As such, it does not shed much light on individual trajectories. There are no computations involving specific trajectories." @default.
- W3149706044 created "2021-04-13" @default.
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- W3149706044 date "2018-10-08" @default.
- W3149706044 modified "2023-09-27" @default.
- W3149706044 title "Trajectories on Reimann Surfaces" @default.
- W3149706044 cites W2080253405 @default.
- W3149706044 doi "https://doi.org/10.1201/9781315139456-9" @default.
- W3149706044 hasPublicationYear "2018" @default.
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